
          ┃┓          ┓          ┓         ┓         ┓
          ┃┃          ┃          ┃         ┃         ┣╸M[0]╶⎨
          ┃┃          ┃          ┣╸th[2]   ┣╸th[1]   ┛ (1,250m⋅N)
          ┃┃          ┃          ┃ (0.209) ┛ (0.151) ┣╸M[1]
          ┃┃          ┃          ┛         ┣╸M[1]
          ┃┃          ┣╸w[2]     ┓
          ┃┃          ┃ (0.425m) ┣╸th[1]╶⎨
          ┃┃          ┃          ┛
          ┃┃          ┃          ┓          ┓
     Cost╺┫┃          ┃          ┣╸w[1]     ┣╸th[1]╶⎨
 (0.782m) ┃┣╸w[3]     ┛          ┛ (0.126m) ┛
          ┃┃ (0.782m) ┓        ┓       ┓       ┓
          ┃┃          ┃        ┃       ┃       ┣╸M[0]╶⎨
          ┃┃          ┣╸th[3]  ┣╸th[2] ┣╸th[1] ┛
          ┃┃          ┃ (0.22) ┃       ┛       ┣╸M[1]
          ┃┃          ┛        ┛       ┣╸M[1]
          ┃┃          ┓       ┓
          ┃┃          ┃       ┣╸th[1]╶⎨
          ┃┃          ┣╸th[2] ┛
          ┃┛          ┛       ┣╸M[1]



      ┃┓
      ┃┃
      ┃┃
      ┃┃
      ┃┣╸L = 3⋅dx
      ┃┃
      ┃┃
      ┃┛
      ┃┣╸w[3] ≥ w[2] + 0.5⋅dx⋅(th[3] + th[2])
 Beam╺┫┛
      ┃┣╸th[1] ≥ th[0] + 0.5⋅dx⋅(M[1] + M[0])/EI
      ┃┛
      ┃┣╸th[2] ≥ th[1] + 0.5⋅dx⋅(M[2] + M[1])/EI
      ┃┣╸V[2] ≥ V[3] + 0.5⋅dx⋅(q[2] + q[3])
      ┃┣╸M[1] ≥ M[2] + 0.5⋅dx⋅(V[1] + V[2])
      ┃┣╸V[1] ≥ V[2] + 0.5⋅dx⋅(q[1] + q[2])
      ┃┣╸M[0] ≥ M[1] + 0.5⋅dx⋅(V[0] + V[1])
      ┃┣╸w[2] ≥ w[1] + 0.5⋅dx⋅(th[2] + th[1])
      ┃┣╸[6 terms]
      ┃┛


Optimal Cost
------------
Beam.w[3] : 0.7825 [m]

Solution
--------
Beam
     dx : 1.667  [m]                 Length of an element
   M[:] : [ 1.25e+03  556       139       0.000202 ] [m⋅N] Internal moment
   V[:] : [ 500       333       167       0.0002   ] [N]   Internal shear
  th[:] : [ 0.0002    0.151     0.209     0.22     ]       Slope
   w[:] : [ 0.0002    0.126     0.425     0.782    ] [m]   Displacement
...constants
      L : 5      [m]    (+3.995)     Overall beam length
     EI : 1e+04  [m²⋅N] (-0.9985)    Bending stiffness
th_base : 0.0002        (+0.001278)  Base angle
 w_base : 0.0002 [m]    (+0.0002556) Base deflection
  V_tip : 0.0002 [N]    (+1.035e-06) Tip loading
  M_tip : 0.0002 [m⋅N]  (~0)         Tip moment
   q[:] : [ 100      100     100     100    ] [N/m] Distributed load
     sens ( +0.0308  +0.173  +0.468  +0.327 )

Most Sensitive Constraints
--------------------------
Beam
+3.995                     : L = 3⋅dx
[ +0.161  +0.543  +1     ] : w[1:] ≥ w[:-1] + 0.5⋅dx⋅(th[1:] + th[:-1])
[ +0.802  +0.666  +0.234 ] : th[1:] ≥ th[:-1] + 0.5⋅dx⋅(M[1:] + M[:-1])/EI
[ +0.185  +0.567  +0.653 ] : V[:-1] ≥ V[1:] + 0.5⋅dx⋅(q[:-1] + q[1:])
[ +0.555  +0.641  +0.21  ] : M[:-1] ≥ M[1:] + 0.5⋅dx⋅(V[:-1] + V[1:])